# Remark to the comparison of solution properties of Love's equation with those of wave equation

Aplikace matematiky (1978)

- Volume: 23, Issue: 3, page 199-207
- ISSN: 0862-7940

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topRadochová, Věra. "Remark to the comparison of solution properties of Love's equation with those of wave equation." Aplikace matematiky 23.3 (1978): 199-207. <http://eudml.org/doc/15050>.

@article{Radochová1978,

abstract = {In the paper some solution properties of the Love's equation are compared with those of the classical wave equation for a certain class of boundary conditions. The method of small parameter is used.},

author = {Radochová, Věra},

journal = {Aplikace matematiky},

keywords = {Love’s equation; boundary value conditions; small parameters; wave equation; Love's Equation; Boundary Value Conditions; Small Parameters; Wave Equation},

language = {eng},

number = {3},

pages = {199-207},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Remark to the comparison of solution properties of Love's equation with those of wave equation},

url = {http://eudml.org/doc/15050},

volume = {23},

year = {1978},

}

TY - JOUR

AU - Radochová, Věra

TI - Remark to the comparison of solution properties of Love's equation with those of wave equation

JO - Aplikace matematiky

PY - 1978

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 23

IS - 3

SP - 199

EP - 207

AB - In the paper some solution properties of the Love's equation are compared with those of the classical wave equation for a certain class of boundary conditions. The method of small parameter is used.

LA - eng

KW - Love’s equation; boundary value conditions; small parameters; wave equation; Love's Equation; Boundary Value Conditions; Small Parameters; Wave Equation

UR - http://eudml.org/doc/15050

ER -

## References

top- Petrovskij I. G., Partial Differential Equations, Prague 1952 (in Czech). (1952) MR0057425
- Love A. E. H., A Treatise on the Mathematical Theory of Elasticity, Cambridge 1952. (1952)
- Brepta R., Prokopec M., Stress Waves and Shocks in Solids, Academia 1972 (in Czech), (1972)
- Radochová V., Das Iterationsverfahren für eine partielle Differentialgleichung vierter Ordnung, Arch. Math. (Brno) 1, IX, 1973, 1 - 8. (1973) Zbl0281.35021MR0350165
- Вишик M. И., Люстерник Л. А., Регулярное вырождение и пограничный слой для линейных дифференциальных уравнений с малым параметром, Успехи мат. наук XII, 1957, 3-122. (1957) Zbl0995.90594
- Levinson N., The First Boundary Value Problem $\epsilon \Delta u+A{u}_{x}+B{u}_{y}+Cu=0$ for Small $\epsilon $, Ann. of Math. 51, No 2, 1950, 428-445. (1950) MR0033433
- Kreith K., Sturmian Theorems for Hyperbolic Equations, Proceedings of the Amer. Math. Soc. 22, 1969, 277-281. (1969) Zbl0176.09304MR0244602

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